Jin Miyazawa

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20212025

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math.DG2022

Localization of indices and orientations on $G$ -instanton moduli spaces

Jin Miyazawa

Joyce, Tanaka, and Upmeier give an orientation of the $G$ -instanton moduli spaces on a closed four manifolds which is canonically defined using the the $Spin^{c}$ structure…

math.DG2021

Localization of a $K O^{*} (pt)$ -valued index and the orientability of the $P i n^{-} (2)$ monopole moduli space

Jin Miyazawa

It is known that the Dirac index of a $S p i n^{c}$ structure is localized to the characteristic submanifold. We introduce the notion of $G^{\pm} (n, s^{+}, s^{-})$ structure on a manifold as…

Localization of indices and orientations on G-instanton moduli spaces

Localization of a KO∗(pt)-valued index and the orientability of the Pin−(2) monopole moduli space

Localization of indices and orientations on $G$ -instanton moduli spaces

Localization of a $K O^{*} (pt)$ -valued index and the orientability of the $P i n^{-} (2)$ monopole moduli space